Minute Mystery: The Handshake Puzzle

Bite-sized brain teaser to solve in a minute or less.

 

 

The Handshake Puzzle

Category: Combinatorics / Light Math

At a party, everyone shakes hands with everyone else exactly once.

There are 6 people.

How many handshakes occur at the party?

 

 

Solution

Let's name the 6 people Persons A, B, C, D, E, F

Person A shakes hands with Persons B, C, D, E, F - 5 handshakes

Person B shakes hands with Persons C, D, E, F - 4 handshakes

Person C shakes hands with Persons D, E, F - 3 handshakes

Person D shakes hands with Persons E, F - 2 handshakes

Person E shakes hands with Persons F - 1 handshake

Answer: 15 handshakes.

 

 

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